Search a number
-
+
1013663222208 = 26347132672467
BaseRepresentation
bin11101100000000110000…
…10010100100111000000
310120220102221012000210000
432300003002110213000
5113101440241102313
62053400452440000
7133143343140060
oct16600302244700
93526387160700
101013663222208
1136098a50aa7a
12144555919000
1374784ba0900
14370c0cd53a0
151b57b023673
hexec030949c0

1013663222208 has 840 divisors, whose sum is σ = 3775584861312. Its totient is φ = 263242856448.

The previous prime is 1013663222179. The next prime is 1013663222249. The reversal of 1013663222208 is 8022223663101.

1013663222208 is a `hidden beast` number, since 1 + 0 + 13 + 6 + 632 + 2 + 2 + 2 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 410887791 + ... + 410890257.

Almost surely, 21013663222208 is an apocalyptic number.

1013663222208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013663222208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887792430656).

1013663222208 is an abundant number, since it is smaller than the sum of its proper divisors (2761921639104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1013663222208 is a wasteful number, since it uses less digits than its factorization.

1013663222208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 1013663222208 its reverse (8022223663101), we get a palindrome (9035886885309).

The spelling of 1013663222208 in words is "one trillion, thirteen billion, six hundred sixty-three million, two hundred twenty-two thousand, two hundred eight".